{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import igraph as ig\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 此示例再现了互联网公司中典型的数据科学情况。 \n",
    "# 我们从具有在线用户操作的 pandas DataFrame 开始，\n",
    "# 例如对于在线文本编辑器：用户可以创建页面、编辑页面或删除页面。 \n",
    "# 我们想要构建和可视化用户图表，突出显示同一页面/项目上的协作。\n",
    "\n",
    "# 让我们首先准备一些代表在线用户的玩具数据。 \n",
    "# 每行表示用户采取的特定操作（例如，单击网站中的按钮）。 \n",
    "# 实际用户数据通常带有时间戳，但这对于本例来说不是必需的。\n",
    "action_dataframe = pd.DataFrame([\n",
    "    ['dsj3239asadsa3', 'createPage', 'greatProject'],\n",
    "    ['2r09ej221sk2k5', 'editPage', 'greatProject'],\n",
    "    ['dsj3239asadsa3', 'editPage', 'greatProject'],\n",
    "    ['789dsadafj32jj', 'editPage', 'greatProject'],\n",
    "    ['oi32ncwosap399', 'editPage', 'greatProject'],\n",
    "    ['4r4320dkqpdokk', 'createPage', 'miniProject'],\n",
    "    ['320eljl3lk3239', 'editPage', 'miniProject'],\n",
    "    ['dsj3239asadsa3', 'editPage', 'miniProject'],\n",
    "    ['3203ejew332323', 'createPage', 'private'],\n",
    "    ['3203ejew332323', 'editPage', 'private'],\n",
    "    ['40m11919332msa', 'createPage', 'private2'],\n",
    "    ['40m11919332msa', 'editPage', 'private2'],\n",
    "    ['dsj3239asadsa3', 'createPage', 'anotherGreatProject'],\n",
    "    ['2r09ej221sk2k5', 'editPage', 'anotherGreatProject'],\n",
    "    ],\n",
    "    columns=['userid', 'action', 'project'],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 此示例的目标是检查两个用户何时在同一页面上工作。 \n",
    "# 为此，我们选择使用加权邻接矩阵，即一个表，其中包含用户的行和列索引，每当人们协作时，该表都具有非零条目。 \n",
    "# 首先，让我们获取用户并准备一个空矩阵：\n",
    "users = action_dataframe['userid'].unique()\n",
    "adjacency_matrix = pd.DataFrame(\n",
    "    np.zeros((len(users), len(users)), np.int32),\n",
    "    index=users,\n",
    "    columns=users,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 然后，让我们一个一个地遍历所有项目，并添加所有协作：\n",
    "for project, project_data in action_dataframe.groupby('project'):\n",
    "    project_users = project_data['userid'].values\n",
    "    for i1, user1 in enumerate(project_users):\n",
    "        for user2 in project_users[:i1]:\n",
    "            adjacency_matrix.at[user1, user2] += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 有很多方法可以实现上述矩阵，所以如果您想出了另一种算法，请不要感到惊讶 ;-) 现在是制作图形的时候了：\n",
    "g = ig.Graph.Weighted_Adjacency(adjacency_matrix, mode='plus')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 我们可以通过绘图函数查看图表。 我们可以先做一个布局：\n",
    "layout = g.layout('circle')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 然后我们可以根据它们与其他顶点的接近程度来准备顶点大小\n",
    "vertex_size = g.closeness()\n",
    "vertex_size = [0.5 * v**2 if not np.isnan(v) else 0.05 for v in vertex_size]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘图\n",
    "fig, ax = plt.subplots()\n",
    "ig.plot(\n",
    "    g,\n",
    "    target=ax,\n",
    "    layout=layout,\n",
    "    vertex_label=g.vs['name'],\n",
    "    vertex_color=\"lightblue\",\n",
    "    vertex_size=vertex_size,\n",
    "    edge_width=g.es[\"weight\"],\n",
    ")\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.10.6 ('py310')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.6"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "49ec5068d4d6d3736c39d3918a16f1ca551a23384109b69898c01c2015d1370c"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
